526505969664 has 288 divisors, whose sum is σ = 1653648174360. Its totient is φ = 160710524928.

The previous prime is 526505969663. The next prime is 526505969669. The reversal of 526505969664 is 466969505625.

526505969664 is a `hidden beast` number, since 5 + 2 + 6 + 505 + 9 + 69 + 6 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 461051864064 + 65454105600 = 679008^2 + 255840^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (526505969663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11571022 + ... + 11616434.

Almost surely, 2^526505969664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526505969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826824087180).

526505969664 is an abundant number, since it is smaller than the sum of its proper divisors (1127142204696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

526505969664 is a wasteful number, since it uses less digits than its factorization.

526505969664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45495 (or 45472 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 526505969664 in words is "five hundred twenty-six billion, five hundred five million, nine hundred sixty-nine thousand, six hundred sixty-four".